Atkin-Lehner |
2+ 3- 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
117312u |
Isogeny class |
Conductor |
117312 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
861849076727808 = 215 · 316 · 13 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 4 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-34817,-2075073] |
[a1,a2,a3,a4,a6] |
j |
142449291399176/26301546531 |
j-invariant |
L |
5.6633037851526 |
L(r)(E,1)/r! |
Ω |
0.35395648329943 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117312e3 58656f3 |
Quadratic twists by: -4 8 |